Division of Polynomials and Pascal Triangle

Who invented the Pascal's Triangle:

• Blaise Pascal

• Archimedes Pascal

• Aryabhatta Pascal

• Blaize Pascal

Find all the coefficients of the expansion of the polynomial (x + y)⁴ using the Pascals triangle.

• 1-1

• 1-4-6-4-1

• 1-2-1

• 1-3-3-1

Three coins are tossed such that we are able to attain the maximum number of possibilities (assuming that each toss lets us acquire a new probability). Find the probability of getting exactly 2 tails and 3 tails.

• 3-1

• 1-3

• 4-1

• 69-2

What is the sum of the digits in the 5th row of the Pascal's Triangle

• 23

• 32

• 31

• 33

How many rows are there in Pascal's Triangle up to the 6th row?

• 6

• 7

• 5

• 8

What is the relationship between the sum of the elements in the nth row of Pascal's Triangle and the power of 2?

• It equals 2^n

• It equals n^2

• It equals n!

• It equals 2n

What is the coefficient of x²y² in the expansion of the polynomial (x + y)⁴?

• 6

• 4

• 12

• 8

How many total elements are there in the 4th row of Pascal's Triangle?

• 5

• 6

• 4

• 7

What is the sum of the coefficients in the 3rd row of Pascal's Triangle?

• 8

• 7

• 6

• 5

What's real life use of Pascal's Triangle